Mathematics Advanced, Extension 1 and Extension 2 practice with guided hints, worked solutions and takeaways.
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15,020 published problems•45 topics•Updated 5 Sept 2026
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Standard
Financial maths, algebra, measurement and basic probability.
1,844 problems
Financial Mathematics · Measurement · Statistics
Advanced
Core calculus, functions, statistics and probability.
1,733 problems
Functions · Probability · Trigonometric Functions
Extension 1
Deeper calculus, combinatorics, proof and vectors.
1,474 problems
Further Calculus · Further Functions · Functions
Standard 1
Practical maths, networks and statistical analysis.
1,384 problems
Financial Mathematics · Ratios And Rates · Trigonometry
Standard 2
Further algebra, financial models and normal distribution.
2,000 problems
Financial Mathematics · Ratios And Rates · Probability
Advanced
Calculus, statistics, probability and modelling.
830 problems
Differentiation · Exponential Logarithmic · Sequences Series
Extension 1
Deeper calculus, proof by induction, vectors and binomial distribution.
2,564 problems
Further Calculus · Vectors · Proof By Induction
Extension 2
Complex numbers, mechanics and advanced proof.
557 problems
Mechanics · Integration Techniques · Vectors 3d
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Use trigonometry in three dimensions to find the angle between a sloping edge and the base of a rectangular pyramid.
Calculate the angle a tarpaulin side makes with the ground given the half-breadth and height of the shelter.
Use the AA similarity test to prove triangles are similar given two angles.
Apply translations to the absolute value function and sketch the resulting graphs.
Explore the logarithmic nature of the pH scale by comparing hydrogen ion concentrations for different pH values.
Find the acute angle between two intersecting lines using their gradients and the tangent function.
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